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DERIVATIVES PRICING AND RISK MANAGEMENT I Single discipline educational activity
Course Sheet Academic Year of enrolment:
Disciplinary Sector:
Probability and Mathematical Statistics
Professor and Collaborators:
Hours of classroom activity:
Prerequisites:
Probability and Mathematical Analysis.
Objectives
Contents Derivatives: forward, future e options and their properties. Binomial
trees: hedging and risk neutral pricing. Cox-Ross-Rubinstein formulas for
call and put. Black and Scholes model: hedging and risk neutral pricing.
Credit risk models: pricing of DZCB and CDS.
Extended Syllabus Fundamentals of stock options. Lower and upper bounds for option prices, put-call parity.
Operational strategies through options.
Binomial trees: hedging strategy and risk neutral evaluation.
Pricing of American options.
The Cox-Ross-Rubinstein formulas for options.
Continuous time models: Brownian motion, geometric Brownian motion, Black & Scholes Model.
Ito's Lemma. Pricing of derivatives: Black & Scholes PDE and risk neutral valuation.
Black & Scholes pricing formulas. Volatility estimation. Delta-hedging.
Introduction to credit risk model: single bankruptcy unit and constant default intensity.
Pricing of Defaultable Zero Coupon Bonds (DZCB) and Credit Default Swaps (CDS).
Recommended Bibliography - J. C. Hull, Opzioni, futures e altri derivati, 8a edizione. Il Sole 24 ore.
- Lecture notes provided by the teacher
- Exercise sheets available on the teacher's website (https://economia.unich.it/ )
- The textbook is also available in English and the on-line material is available in English, upon request.
Teaching Methods The course is structured in 48 hours of frontal teaching, consisting of
theoretical lessons and exercises sessions with the correction of exercises assigned by the
professor. The exercises proposed by the teacher allow to verify
the practical application of the topics seen at a theoretical level.
Evaluation methods Verification of learning:
The final exam will consist of a written test consisting of exercises.
The written text can be taken in English upon request.
Contacts/More Information